Question

question 6
10 pts
g.gsr.6.3 (mc)
a 22-foot ladder is leaning against a house. the base of the ladder is 10 feet from the side of the house. how far off the ground does the ladder reach? round your answer to the nearest tenth.
20.2 ft
18.5 ft
24.2 ft
19.6 ft
question 7
10 pts
g.gsr.6.3 (mc)
a builder needs to see if the form boards

Explanation:

Step1: Identify the right triangle

The ladder, the house, and the ground form a right triangle. The ladder is the hypotenuse (\(c = 22\) ft), the base is one leg (\(a = 10\) ft), and the height on the house is the other leg (\(b\)) we need to find.

Step2: Apply the Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\). We can solve for \(b\):

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Step3: Calculate the square root

\(\sqrt{384}\approx19.6\) (rounded to the nearest tenth).

Answer:

D. 19.6 ft